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A body found in a wooded area on Long Island has been identified as Sarah Goode, a 21-year-old woman who went missing a week ago, and police are investigating the death as a homicide. Michael George reports. (Published Sunday, June 15, 2014)

Updated at 8:52 AM EDT on Sunday, Jun 15, 2014

A body found in a wooded area on Long Island has been identified as Sarah Goode, a 21-year-old woman who went missing a week ago, and police are investigating the death as a homicide.

Body Found on Long Island Believed to Be Missing Woman

Detectives found the body within a mile of where Goode's car was found earlier this week, about a mile from her home.

Goode, a medical technician and the mother of a 4-year-old girl, was last seen a week ago, when she was out with friends in Shirley on the night of June 6, according to police.

Her 1999 BMW was found parked on the street about a mile from her home in Medford. Police said it is unusual that it was found there, but did not elaborate on what, if any, evidence of her disappearance was found inside.

"I think we all kind of knew it was her,” said Joe Pronti, a friend of Goode’s who was part of the search party that found the body. “Such a sad thing to happen."

Police say Goode was the victim of a violent crime and her death is being treated as a homicide.

So far investigators have not released a possible motive and have made no arrests.